### Definition of Subspaces

1. Noun. (plural of subspace) ¹

¹ Source: wiktionary.com

### Literary usage of Subspaces

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in the Geometric Theory of Integrable Mechanical Systems by Robert Hermann (1984)
"EULER-ARNOLD VECTOR FIELDS THAT ARE TANGENT TO THE JACOBI Subspaces Let C be a ... be a Jacobi triple of linear subspaces. Let J be the associated Jacobi ..."

2. Geometry of Non-Linear Differential Equations, Backlund Transformations, and by Robert Hermann (1977)
"A2 = vd A Vd a space of skew-symmetric bilinear maps VxV + R and so forth. For each integer m, let Gm(V) denote the space of n-dimensional linear subspaces ..."

3. Topics in Physical Geometry by Robert Hermann (1988)
"LAX REPRESENTATIONS FOR CERTAIN VECTOR FIELDS ON LINEAR Subspaces OF LIE ALGEBRAS As I have mentioned, the most important situation for Integrable Systems ..."

4. Real Analysis by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)
"13:10.6 In the proof of Theorem 13.33 we left out some details involving "subsequences of subsequences." How might these be provided? 13.11 Closed Subspaces ..."

5. Convex Optimization and Euclidean Distance Geometry by Jon Dattorro (2005)
"E.3.1 Four subspaces We summarize the orthogonal projectors projecting on the four fundamental subspaces: for ..."

6. Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2001)
"13.8.2 Subspaces of a Complete Space Suppose now we wish to prove that the space C[a, b] is complete. We could argue exactly as we did with M[a, ..."

7. Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control by Louis R. Hunt, Clyde Martin (1984)
"Thus, the classical power method is actually an iteration on the set of one-dimensional subspaces of Rn, and the points of ..."